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Finding the Third Proportional to 180,233.44 and 271,734.75

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Solution

The third proportional to 180,233.44 and 271,734.75 is: 409,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,233.44 : 271,734.75 = 271,734.75 : x
  2. Step 2: Convert to fraction form
    180,233.44/271,734.75 = 271,734.75/x
  3. Step 3: Cross multiply
    180,233.44x = 271,734.75 × 271,734.75
  4. Step 4: Simplify right side
    180,233.44x = 73,839,774,357.56
  5. Step 5: Solve for x
    x = 73,839,774,357.56/180,233.44
  6. Step 6: Final answer
    x = 409,689.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.